Thanu Dharshani posted an Question
January 15, 2021 • 12:41 pm 30 points
  • IIT JAM
  • Mathematics (MA)

3. which of the following sequences of functions is uniformly convergent on (0, 1)? (a) x n (b) nx+ 1 () nx+1 1 (d) nx+1 x

3. Which of the following sequences of functions is uniformly convergent on (0, 1)? (a) x n (b) nx+ 1 () nx+1 1 (d) nx+1 X

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    Sonu saini

    we put at x=1/n because we need to check in the neighbourhood or zero ...because problem occurs in nbd of zero only

  • comment-profile-img>
    Sonu saini

    in options b , c, d you put at x=1/n apply limit you will see only option c gives you zero remaining option b and d gives you non zero limit ....hence c is uniform continues

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